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Finding the Third Proportional to 247,536 and 508,188

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Solution

The third proportional to 247,536 and 508,188 is: 1,043,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,536 : 508,188 = 508,188 : x
  2. Step 2: Convert to fraction form
    247,536/508,188 = 508,188/x
  3. Step 3: Cross multiply
    247,536x = 508,188 × 508,188
  4. Step 4: Simplify right side
    247,536x = 258,255,043,344
  5. Step 5: Solve for x
    x = 258,255,043,344/247,536
  6. Step 6: Final answer
    x = 1,043,302.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.